Daily Practice

Higher Plus

17th March 1959

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
5
Proof2 marks
In an algebraic proof, how would you write a multiple of 3 in terms of an integer n?

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